$($b$)$ Consider the following $3-$bit image:

$\backslash$table$[[4,4,2,4,4,1,4,4,4],[4,6,3,3,2,0,3,7,4],[1,6,2,2,2,0,2,7,4],[1,6,4,4,2,1,7,4,7],[1,2,2,0,2,1,4,7,7],[1,2,2,1,2,1,7,7,7],[4,2,2,4,3,3,1,7,7],[4,2,2,3,3,3,4,4,4],[4,4,4,3,3,3,4,4,4]]$

$($i$)$ Determine and sketch the histogram of the image.

$[8$ marks$]$

$($ii$)$ Determine and sketch the equalized histogram of the image,

$[16$ marks$]$